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106961373 = 321071091019
BaseRepresentation
bin1100110000000…
…01100111011101
321110021012102100
412120001213131
5204340230443
614340315313
72436104511
oct630014735
9243235370
10106961373
1155416732
122b9a2b39
131921026c
14102c4141
1595cc3d3
hex66019dd

106961373 has 24 divisors (see below), whose sum is σ = 157528800. Its totient is φ = 69924384.

The previous prime is 106961363. The next prime is 106961383. The reversal of 106961373 is 373169601.

It is an interprime number because it is at equal distance from previous prime (106961363) and next prime (106961383).

It is not a de Polignac number, because 106961373 - 25 = 106961341 is a prime.

It is a super-2 number, since 2×1069613732 = 22881470628090258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106961363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104458 + ... + 105476.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2106961373 is an apocalyptic number.

It is an amenable number.

106961373 is a deficient number, since it is larger than the sum of its proper divisors (50567427).

106961373 is a wasteful number, since it uses less digits than its factorization.

106961373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 106961373 is about 10342.2131577337. The cubic root of 106961373 is about 474.6888052152.

The spelling of 106961373 in words is "one hundred six million, nine hundred sixty-one thousand, three hundred seventy-three".

Divisors: 1 3 9 107 109 321 327 963 981 1019 3057 9171 11663 34989 104967 109033 111071 327099 333213 981297 999639 11884597 35653791 106961373