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106991478 = 232113117431
BaseRepresentation
bin1100110000010…
…00111101110110
321110022201201100
412120020331312
5204342211403
614341110530
72436261336
oct630107566
9243281640
10106991478
1155437310
122b9b8446
1319220b89
14102d10c6
1595d62a3
hex6608f76

106991478 has 48 divisors (see below), whose sum is σ = 261061632. Its totient is φ = 31374000.

The previous prime is 106991477. The next prime is 106991519. The reversal of 106991478 is 874199601.

It is a happy number.

It is a super-2 number, since 2×1069914782 = 22894352729248968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106991473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578 + ... + 14853.

It is an arithmetic number, because the mean of its divisors is an integer number (5438784).

Almost surely, 2106991478 is an apocalyptic number.

106991478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106991478 is an abundant number, since it is smaller than the sum of its proper divisors (154070154).

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

106991478 is a wasteful number, since it uses less digits than its factorization.

106991478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17481 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 106991478 is about 10343.6684981683. The cubic root of 106991478 is about 474.7333358264.

The spelling of 106991478 in words is "one hundred six million, nine hundred ninety-one thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 17431 34862 52293 104586 156879 191741 313758 383482 540361 575223 1080722 1150446 1621083 1725669 3242166 3451338 4863249 5943971 9726498 11887942 17831913 35663826 53495739 106991478