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99990100 = 22527831721
BaseRepresentation
bin1011111010110…
…11101001010100
320222011000122001
411331123221110
5201044140400
613531045044
72322621220
oct575335124
9228130561
1099990100
1151495051
12295a0784
131793c152
14d3cb780
158ba1a6a
hex5f5ba54

99990100 has 72 divisors (see below), whose sum is σ = 251108928. Its totient is φ = 33849600.

The previous prime is 99990091. The next prime is 99990113. The reversal of 99990100 is 109999.

It is a self number, because there is not a number n which added to its sum of digits gives 99990100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57240 + ... + 58960.

It is an arithmetic number, because the mean of its divisors is an integer number (3487624).

Almost surely, 299990100 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 99990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125554464).

99990100 is an abundant number, since it is smaller than the sum of its proper divisors (151118828).

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

99990100 is a wasteful number, since it uses less digits than its factorization.

99990100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The square root of 99990100 is about 9999.5049877481. The cubic root of 99990100 is about 464.1435656126.

The spelling of 99990100 in words is "ninety-nine million, nine hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 1721 2075 2324 2905 3442 4150 5810 6884 8300 8605 11620 12047 14525 17210 24094 29050 34420 43025 48188 58100 60235 86050 120470 142843 172100 240940 285686 301175 571372 602350 714215 999901 1204700 1428430 1999802 2856860 3571075 3999604 4999505 7142150 9999010 14284300 19998020 24997525 49995050 99990100