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106403677467 = 31714593142969
BaseRepresentation
bin110001100011000100…
…1110100010100011011
3101011122110021212022020
41203012021310110123
53220403320134332
6120514200025523
710454532223053
oct1430611642433
9334573255266
10106403677467
114114211382a
12187564622a3
13a0594068c9
145215710563
152b7b51082c
hex18c627451b

106403677467 has 16 divisors (see below), whose sum is σ = 150228300960. Its totient is φ = 66758049792.

The previous prime is 106403677459. The next prime is 106403677489. The reversal of 106403677467 is 764776304601.

It is not a de Polignac number, because 106403677467 - 23 = 106403677459 is a prime.

It is a super-2 number, since 2×1064036774672 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (106403677427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672759 + ... + 815727.

It is an arithmetic number, because the mean of its divisors is an integer number (9389268810).

Almost surely, 2106403677467 is an apocalyptic number.

106403677467 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106403677467 is a deficient number, since it is larger than the sum of its proper divisors (43824623493).

106403677467 is a wasteful number, since it uses less digits than its factorization.

106403677467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157582.

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 106403677467 in words is "one hundred six billion, four hundred three million, six hundred seventy-seven thousand, four hundred sixty-seven".

Divisors: 1 3 17 51 14593 43779 142969 248081 428907 744243 2430473 7291419 2086346617 6259039851 35467892489 106403677467