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106960931 = 7113973499
BaseRepresentation
bin1100110000000…
…01100000100011
321110021011210222
412120001200203
5204340222211
614340313255
72436103310
oct630014043
9243234728
10106960931
1155416370
122b9a282b
131920ccbc
14102c3d07
1595cc1db
hex6601823

106960931 has 16 divisors (see below), whose sum is σ = 133728000. Its totient is φ = 83112480.

The previous prime is 106960921. The next prime is 106960951. The reversal of 106960931 is 139069601.

It is not a de Polignac number, because 106960931 - 222 = 102766627 is a prime.

It is a super-2 number, since 2×1069609312 = 22881281520773522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106960891 and 106960900.

It is not an unprimeable number, because it can be changed into a prime (106960901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28820 + ... + 32318.

It is an arithmetic number, because the mean of its divisors is an integer number (8358000).

Almost surely, 2106960931 is an apocalyptic number.

106960931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106960931 is a deficient number, since it is larger than the sum of its proper divisors (26767069).

106960931 is a wasteful number, since it uses less digits than its factorization.

106960931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914.

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 106960931 is about 10342.1917889778. The cubic root of 106960931 is about 474.6881513569.

The spelling of 106960931 in words is "one hundred six million, nine hundred sixty thousand, nine hundred thirty-one".

Divisors: 1 7 11 77 397 2779 3499 4367 24493 30569 38489 269423 1389103 9723721 15280133 106960931