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106352932 = 22724312619
BaseRepresentation
bin1100101011011…
…01000100100100
321102010021210111
412111231010210
5204211243212
614315302404
72430661600
oct625550444
9242107714
10106352932
1155040594
122b74aa04
131905933a
14101a6500
15950bea7
hex656d124

106352932 has 36 divisors (see below), whose sum is σ = 221556720. Its totient is φ = 44516304.

The previous prime is 106352923. The next prime is 106352941. The reversal of 106352932 is 239253601.

It is an interprime number because it is at equal distance from previous prime (106352923) and next prime (106352941).

It is a super-2 number, since 2×1063529322 = 22621892289993248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106352894 and 106352903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2119 + ... + 14737.

Almost surely, 2106352932 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 106352932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110778360).

106352932 is an abundant number, since it is smaller than the sum of its proper divisors (115203788).

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

106352932 is a wasteful number, since it uses less digits than its factorization.

106352932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 106352932 is about 10312.7557907671. The cubic root of 106352932 is about 473.7870170160.

The spelling of 106352932 in words is "one hundred six million, three hundred fifty-two thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4214 8428 12619 25238 50476 88333 176666 353332 542617 618331 1085234 1236662 2170468 2473324 3798319 7596638 15193276 26588233 53176466 106352932