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106100136 = 23321473613
BaseRepresentation
bin1100101001011…
…11010110101000
321101122110000200
412110233112220
5204130201021
614310032200
72425556562
oct624572650
9241573020
10106100136
115498866a
122b648660
1318c9b25c
141013c332
1594ac126
hex652f5a8

106100136 has 24 divisors (see below), whose sum is σ = 287354730. Its totient is φ = 35366688.

The previous prime is 106100119. The next prime is 106100143. The reversal of 106100136 is 631001601.

It can be written as a sum of positive squares in only one way, i.e., 70459236 + 35640900 = 8394^2 + 5970^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1061001362 = 22514477718436992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736735 + ... + 736878.

Almost surely, 2106100136 is an apocalyptic number.

It is an amenable number.

106100136 is an abundant number, since it is smaller than the sum of its proper divisors (181254594).

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

106100136 is a wasteful number, since it uses less digits than its factorization.

106100136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473625 (or 1473618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106100136 is about 10300.4920270830. The cubic root of 106100136 is about 473.4113292530.

Adding to 106100136 its reverse (631001601), we get a palindrome (737101737).

The spelling of 106100136 in words is "one hundred six million, one hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1473613 2947226 4420839 5894452 8841678 11788904 13262517 17683356 26525034 35366712 53050068 106100136