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99102164 = 22729312127
BaseRepresentation
bin1011110100000…
…10110111010100
320220110220121112
411322002313110
5200332232124
613500034152
72312232410
oct572026724
9226426545
1099102164
1150a38a17
1229232958
13176bac45
14d239d40
158a7890e
hex5e82dd4

99102164 has 72 divisors (see below), whose sum is σ = 213534720. Its totient is φ = 39372480.

The previous prime is 99102151. The next prime is 99102173. The reversal of 99102164 is 46120199.

It is a self number, because there is not a number n which added to its sum of digits gives 99102164.

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, 780269 + ... + 780395.

It is an arithmetic number, because the mean of its divisors is an integer number (2965760).

Almost surely, 299102164 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 99102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106767360).

99102164 is an abundant number, since it is smaller than the sum of its proper divisors (114432556).

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

99102164 is a wasteful number, since it uses less digits than its factorization.

99102164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 99102164 is about 9955.0069814139. The cubic root of 99102164 is about 462.7655766168.

The spelling of 99102164 in words is "ninety-nine million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 127 203 217 254 406 434 508 812 868 889 899 961 1778 1798 1922 3556 3596 3683 3844 3937 6293 6727 7366 7874 12586 13454 14732 15748 25172 25781 26908 27559 27869 51562 55118 55738 103124 110236 111476 114173 122047 195083 228346 244094 390166 456692 488188 780332 799211 854329 1598422 1708658 3196844 3417316 3539363 7078726 14157452 24775541 49551082 99102164