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103455505404 = 223253359315091
BaseRepresentation
bin110000001011001101…
…1011011101111111100
3100220000222210012112100
41200112123123233330
53143334102133104
6115305442305100
710321503200166
oct1402633335774
9326028705470
10103455505404
113a969a32499
1218073058190
1399a969a7b4
145015d59936
152a577a8139
hex18166dbbfc

103455505404 has 72 divisors (see below), whose sum is σ = 266538544272. Its totient is φ = 33822846720.

The previous prime is 103455505403. The next prime is 103455505411. The reversal of 103455505404 is 404505554301.

103455505404 is a `hidden beast` number, since 10 + 3 + 4 + 55 + 50 + 540 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103455505403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6847899 + ... + 6862989.

It is an arithmetic number, because the mean of its divisors is an integer number (3701924226).

Almost surely, 2103455505404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103455505404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133269272136).

103455505404 is an abundant number, since it is smaller than the sum of its proper divisors (163083038868).

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

103455505404 is a wasteful number, since it uses less digits than its factorization.

103455505404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18747 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 103455505404 in words is "one hundred three billion, four hundred fifty-five million, five hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 3593 7186 10779 14372 15091 21558 30182 32337 43116 45273 60364 64674 90546 129348 135819 181092 190429 271638 380858 543276 571287 761716 799823 1142574 1599646 1713861 2285148 2399469 3199292 3427722 4798938 6855444 7198407 9597876 14396814 28793628 54221963 108443926 162665889 216887852 325331778 487997667 650663556 975995334 1951990668 2873764039 5747528078 8621292117 11495056156 17242584234 25863876351 34485168468 51727752702 103455505404