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106102536 = 23319232681
BaseRepresentation
bin1100101001011…
…11111100001000
321101122120022120
412110233330020
5204130240121
614310051240
72425566561
oct624577410
9241576276
10106102536
115498a451
122b649b20
1318c9c387
141013d168
1594acbc6
hex652ff08

106102536 has 32 divisors (see below), whose sum is σ = 279218400. Its totient is φ = 33505920.

The previous prime is 106102523. The next prime is 106102541. The reversal of 106102536 is 635201601.

It is a super-3 number, since 3×1061025363 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115885 + ... + 116796.

It is an arithmetic number, because the mean of its divisors is an integer number (8725575).

Almost surely, 2106102536 is an apocalyptic number.

It is an amenable number.

106102536 is an abundant number, since it is smaller than the sum of its proper divisors (173115864).

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

106102536 is a wasteful number, since it uses less digits than its factorization.

106102536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232709 (or 232705 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106102536 is about 10300.6085257134. The cubic root of 106102536 is about 473.4148987697.

The spelling of 106102536 in words is "one hundred six million, one hundred two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 232681 465362 698043 930724 1396086 1861448 2792172 4420939 5584344 8841878 13262817 17683756 26525634 35367512 53051268 106102536