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106157870 = 25713116657
BaseRepresentation
bin1100101001111…
…01011100101110
321101202101012222
412110331130232
5204134022440
614311155342
72426220110
oct624753456
9241671188
10106157870
1154a17a85
122b675b52
1318cbb610
14101553b0
1594be2b5
hex653d72e

106157870 has 32 divisors (see below), whose sum is σ = 235182528. Its totient is φ = 33596928.

The previous prime is 106157869. The next prime is 106157879. The reversal of 106157870 is 78751601.

It is a super-2 number, since 2×1061578702 = 22538986725873800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106157870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106157879) 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, 57419 + ... + 59238.

It is an arithmetic number, because the mean of its divisors is an integer number (7349454).

Almost surely, 2106157870 is an apocalyptic number.

106157870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106157870 is an abundant number, since it is smaller than the sum of its proper divisors (129024658).

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

106157870 is a wasteful number, since it uses less digits than its factorization.

106157870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116684.

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 106157870 is about 10303.2941334313. The cubic root of 106157870 is about 473.4971820291.

The spelling of 106157870 in words is "one hundred six million, one hundred fifty-seven thousand, eight hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 116657 233314 583285 816599 1166570 1516541 1633198 3033082 4082995 7582705 8165990 10615787 15165410 21231574 53078935 106157870