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106607352 = 2337162563
BaseRepresentation
bin1100101101010…
…11001011111000
321102121012210110
412112223023320
5204242413402
614324544320
72433101415
oct626531370
9242535713
10106607352
11551a4755
122b8520a0
1319118097
141023110c
15955c56c
hex65ab2f8

106607352 has 32 divisors (see below), whose sum is σ = 270276480. Its totient is φ = 35034720.

The previous prime is 106607317. The next prime is 106607387. The reversal of 106607352 is 253706601.

It is an interprime number because it is at equal distance from previous prime (106607317) and next prime (106607387).

It is a super-2 number, since 2×1066073522 = 22730255000903808, which contains 22 as substring.

It is a congruent number.

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, 29578 + ... + 32985.

It is an arithmetic number, because the mean of its divisors is an integer number (8446140).

Almost surely, 2106607352 is an apocalyptic number.

106607352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106607352 is an abundant number, since it is smaller than the sum of its proper divisors (163669128).

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

106607352 is a wasteful number, since it uses less digits than its factorization.

106607352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62643 (or 62639 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106607352 is about 10325.0836316226. The cubic root of 106607352 is about 474.1645176574.

The spelling of 106607352 in words is "one hundred six million, six hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 62563 125126 187689 250252 375378 500504 750756 1501512 4441973 8883946 13325919 17767892 26651838 35535784 53303676 106607352