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104955516 = 22322915431
BaseRepresentation
bin1100100000101…
…11111001111100
321022111021220100
412100113321330
5203332034031
614225321100
72413051521
oct620277174
9238437810
10104955516
11542766a6
122b196190
131898a273
14dd21148
159332de6
hex6417e7c

104955516 has 18 divisors (see below), whose sum is σ = 265304312. Its totient is φ = 34985160.

The previous prime is 104955511. The next prime is 104955517. The reversal of 104955516 is 615559401.

104955516 is a `hidden beast` number, since 10 + 4 + 95 + 551 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1049555162 = 22031320677652512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2915431 = 104955516 / (1 + 0 + 4 + 9 + 5 + 5 + 5 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104955511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1457680 + ... + 1457751.

Almost surely, 2104955516 is an apocalyptic number.

It is an amenable number.

104955516 is an abundant number, since it is smaller than the sum of its proper divisors (160348796).

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

104955516 is a wasteful number, since it uses less digits than its factorization.

104955516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915441 (or 2915436 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 104955516 is about 10244.7799390714. The cubic root of 104955516 is about 471.7027657959.

It can be divided in two parts, 1049 and 55516, that added together give a palindrome (56565).

The spelling of 104955516 in words is "one hundred four million, nine hundred fifty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2915431 5830862 8746293 11661724 17492586 26238879 34985172 52477758 104955516