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106015764 = 22329304643
BaseRepresentation
bin1100101000110…
…10110000010100
321101111011021210
412110122300110
5204120001024
614304141420
72425055601
oct624326024
9241434253
10106015764
1154930238
122b607870
1318c6ba2a
14101196a8
159492129
hex651ac14

106015764 has 24 divisors (see below), whose sum is σ = 255900960. Its totient is φ = 34119904.

The previous prime is 106015759. The next prime is 106015771. The reversal of 106015764 is 467510601.

It is a super-2 number, since 2×1060157642 = 22478684433007392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151974 + ... + 152669.

It is an arithmetic number, because the mean of its divisors is an integer number (10662540).

Almost surely, 2106015764 is an apocalyptic number.

It is an amenable number.

106015764 is an abundant number, since it is smaller than the sum of its proper divisors (149885196).

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

106015764 is a wasteful number, since it uses less digits than its factorization.

106015764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304679 (or 304677 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106015764 is about 10296.3956800426. The cubic root of 106015764 is about 473.2858086694.

The spelling of 106015764 in words is "one hundred six million, fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 304643 609286 913929 1218572 1827858 3655716 8834647 17669294 26503941 35338588 53007882 106015764