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104058405 = 3351179887
BaseRepresentation
bin1100011001111…
…00111000100101
321020210201022000
412030330320211
5203114332110
614154155513
72402324163
oct614747045
9236721260
10104058405
1153813690
122aa22b99
1318734b29
14db6a233
1592071c0
hex633ce25

104058405 has 64 divisors (see below), whose sum is σ = 204595200. Its totient is φ = 49757760.

The previous prime is 104058403. The next prime is 104058431. The reversal of 104058405 is 504850401.

It is not a de Polignac number, because 104058405 - 21 = 104058403 is a prime.

It is a super-2 number, since 2×1040584052 = 21656303302288050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104058403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116872 + ... + 117758.

It is an arithmetic number, because the mean of its divisors is an integer number (3196800).

Almost surely, 2104058405 is an apocalyptic number.

104058405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104058405 is a deficient number, since it is larger than the sum of its proper divisors (100536795).

104058405 is a wasteful number, since it uses less digits than its factorization.

104058405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 104058405 is about 10200.9021659851. The cubic root of 104058405 is about 470.3549529307.

The spelling of 104058405 in words is "one hundred four million, fifty-eight thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 79 99 135 165 237 297 395 495 711 869 887 1185 1485 2133 2607 2661 3555 4345 4435 7821 7983 9757 10665 13035 13305 23463 23949 29271 39105 39915 48785 70073 87813 117315 119745 146355 210219 263439 350365 439065 630657 770803 1051095 1317195 1891971 2312409 3153285 3854015 6937227 9459855 11562045 20811681 34686135 104058405