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106635464 = 23137912979
BaseRepresentation
bin1100101101100…
…10000011001000
321102122122100122
412112302003020
5204244313324
614325322412
72433246365
oct626620310
9242578318
10106635464
1155213891
122b866408
1319127b10
141023b46c
159565a5e
hex65b20c8

106635464 has 32 divisors (see below), whose sum is σ = 218064000. Its totient is φ = 48589632.

The previous prime is 106635437. The next prime is 106635481. The reversal of 106635464 is 464536601.

It is a super-2 number, since 2×1066354642 = 22742244364990592, which contains 22 as substring.

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, 1727 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (6814500).

Almost surely, 2106635464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106635464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109032000).

106635464 is an abundant number, since it is smaller than the sum of its proper divisors (111428536).

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

106635464 is a wasteful number, since it uses less digits than its factorization.

106635464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 106635464 is about 10326.4448867943. Note that the first 3 decimals coincide. The cubic root of 106635464 is about 474.2061925237.

The spelling of 106635464 in words is "one hundred six million, six hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 8216 12979 25958 51916 103832 168727 337454 674908 1025341 1349816 2050682 4101364 8202728 13329433 26658866 53317732 106635464