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106731054 = 23379127197
BaseRepresentation
bin1100101110010…
…01011000101110
321102211111111000
412113021120232
5204310343204
614331341130
72434125153
oct627113056
9242744430
10106731054
1155279691
122b8b17a6
131915c491
141026422a
159584039
hex65c962e

106731054 has 64 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 34673184.

The previous prime is 106731041. The next prime is 106731073. The reversal of 106731054 is 450137601.

It is a super-2 number, since 2×1067310542 = 22783035775901832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541684 + ... + 541880.

It is an arithmetic number, because the mean of its divisors is an integer number (3801600).

Almost surely, 2106731054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106731054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

106731054 is an abundant number, since it is smaller than the sum of its proper divisors (136571346).

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

106731054 is a wasteful number, since it uses less digits than its factorization.

106731054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106731054 is about 10331.0722579992. The cubic root of 106731054 is about 474.3478459359.

Adding to 106731054 its reverse (450137601), we get a palindrome (556868655).

The spelling of 106731054 in words is "one hundred six million, seven hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 79 127 158 197 237 254 381 394 474 591 711 762 1143 1182 1422 1773 2133 2286 3429 3546 4266 5319 6858 10033 10638 15563 20066 25019 30099 31126 46689 50038 60198 75057 90297 93378 140067 150114 180594 225171 270891 280134 420201 450342 541782 675513 840402 1351026 1976501 3953002 5929503 11859006 17788509 35577018 53365527 106731054