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106372552 = 231121379107
BaseRepresentation
bin1100101011100…
…01110111001000
321102011021201011
412111301313020
5204212410202
614315533304
72431103026
oct625616710
9242137634
10106372552
1155054300
122b75a234
1319065250
14101ad716
159512bd7
hex6571dc8

106372552 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 43655040.

The previous prime is 106372543. The next prime is 106372559. The reversal of 106372552 is 255273601.

It is a super-2 number, since 2×1063725522 = 22630239637985408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106372559) 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, 994083 + ... + 994189.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2106372552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106372552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

106372552 is an abundant number, since it is smaller than the sum of its proper divisors (134942648).

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

106372552 is a wasteful number, since it uses less digits than its factorization.

106372552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 106372552 is about 10313.7069960320. The cubic root of 106372552 is about 473.8161499840.

The spelling of 106372552 in words is "one hundred six million, three hundred seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 79 88 104 107 121 143 158 214 242 286 316 428 484 572 632 856 869 968 1027 1144 1177 1391 1573 1738 2054 2354 2782 3146 3476 4108 4708 5564 6292 6952 8216 8453 9416 9559 11128 11297 12584 12947 15301 16906 19118 22594 25894 30602 33812 38236 45188 51788 61204 67624 76472 90376 92983 103576 109889 122408 124267 168311 185966 219778 248534 336622 371932 439556 497068 673244 743864 879112 994136 1022813 1208779 1346488 2045626 2417558 4091252 4835116 8182504 9670232 13296569 26593138 53186276 106372552