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106400987 = 7112125621
BaseRepresentation
bin1100101011110…
…00110011011011
321102012201201022
412111320303123
5204214312422
614320313055
72431251650
oct625706333
9242181638
10106400987
1155073700
122b77278b
1319075184
14101b9c27
15951b342
hex6578cdb

106400987 has 12 divisors (see below), whose sum is σ = 133661808. Its totient is φ = 82909200.

The previous prime is 106400947. The next prime is 106400989. The reversal of 106400987 is 789004601.

It is not a de Polignac number, because 106400987 - 28 = 106400731 is a prime.

It is a super-2 number, since 2×1064009872 = 22642340069148338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61964 + ... + 63657.

It is an arithmetic number, because the mean of its divisors is an integer number (11138484).

Almost surely, 2106400987 is an apocalyptic number.

106400987 is a deficient number, since it is larger than the sum of its proper divisors (27260821).

106400987 is a wasteful number, since it uses less digits than its factorization.

106400987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125650 (or 125639 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 106400987 is about 10315.0854092441. The cubic root of 106400987 is about 473.8583656422.

The spelling of 106400987 in words is "one hundred six million, four hundred thousand, nine hundred eighty-seven".

Divisors: 1 7 11 77 121 847 125621 879347 1381831 9672817 15200141 106400987