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103666098080 = 25531109191747
BaseRepresentation
bin110000010001011111…
…0110001111110100000
3100220120200001102101002
41200202332301332200
53144302010114310
6115342404131132
710326641203046
oct1404276617640
9326520042332
10103666098080
113aa6789a926
1218111696aa8
139a111c334c
145035cd8396
152a6b005da5
hex1822fb1fa0

103666098080 has 96 divisors (see below), whose sum is σ = 255132218880. Its totient is φ = 39760450560.

The previous prime is 103666098061. The next prime is 103666098121. The reversal of 103666098080 is 80890666301.

It is a super-2 number, since 2×1036660980802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444767 + ... + 636513.

It is an arithmetic number, because the mean of its divisors is an integer number (2657627280).

Almost surely, 2103666098080 is an apocalyptic number.

103666098080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103666098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127566109440).

103666098080 is an abundant number, since it is smaller than the sum of its proper divisors (151466120800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103666098080 is a wasteful number, since it uses less digits than its factorization.

103666098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191902 (or 191894 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 103666098080 in words is "one hundred three billion, six hundred sixty-six million, ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 109 124 155 160 218 248 310 436 496 545 620 872 992 1090 1240 1744 2180 2480 3379 3488 4360 4960 6758 8720 13516 16895 17440 27032 33790 54064 67580 108128 135160 191747 270320 383494 540640 766988 958735 1533976 1917470 3067952 3834940 5944157 6135904 7669880 11888314 15339760 20900423 23776628 29720785 30679520 41800846 47553256 59441570 83601692 95106512 104502115 118883140 167203384 190213024 209004230 237766280 334406768 418008460 475532560 647913113 668813536 836016920 951065120 1295826226 1672033840 2591652452 3239565565 3344067680 5183304904 6479131130 10366609808 12958262260 20733219616 25916524520 51833049040 103666098080