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106816031 = 732391303
BaseRepresentation
bin1100101110111…
…10001000011111
321102222211001022
412113132020133
5204321103111
614333234355
72434631000
oct627361037
9242884038
10106816031
1155327513
122b9329bb
131918c06a
14102871a7
15959e2db
hex65de21f

106816031 has 16 divisors (see below), whose sum is σ = 125184000. Its totient is φ = 91103544.

The previous prime is 106816027. The next prime is 106816037. The reversal of 106816031 is 130618601.

It is not a de Polignac number, because 106816031 - 22 = 106816027 is a prime.

It is a super-2 number, since 2×1068160312 = 22819328957185922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106816037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81326 + ... + 82628.

It is an arithmetic number, because the mean of its divisors is an integer number (7824000).

Almost surely, 2106816031 is an apocalyptic number.

106816031 is a deficient number, since it is larger than the sum of its proper divisors (18367969).

106816031 is an equidigital number, since it uses as much as digits as its factorization.

106816031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106816031 is about 10335.1841299514. The cubic root of 106816031 is about 474.4737011033.

The spelling of 106816031 in words is "one hundred six million, eight hundred sixteen thousand, thirty-one".

Divisors: 1 7 49 239 343 1303 1673 9121 11711 63847 81977 311417 446929 2179919 15259433 106816031