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106454664 = 23324992963
BaseRepresentation
bin1100101100001…
…01111010001000
321102022110100100
412112011322020
5204223022124
614321405400
72431564311
oct626057210
9242273310
10106454664
11550aaa68
122b799860
1319093734
14101d1608
15952c1c9
hex6585e88

106454664 has 48 divisors (see below), whose sum is σ = 288990000. Its totient is φ = 35401824.

The previous prime is 106454611. The next prime is 106454669. The reversal of 106454664 is 466454601.

106454664 is a `hidden beast` number, since 1 + 0 + 645 + 4 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1064546642 = 22665190974705792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106454669) 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, 34447 + ... + 37409.

It is an arithmetic number, because the mean of its divisors is an integer number (6020625).

Almost surely, 2106454664 is an apocalyptic number.

It is an amenable number.

106454664 is an abundant number, since it is smaller than the sum of its proper divisors (182535336).

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

106454664 is a wasteful number, since it uses less digits than its factorization.

106454664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 106454664 is about 10317.6869500872. The cubic root of 106454664 is about 473.9380360169.

The spelling of 106454664 in words is "one hundred six million, four hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 499 998 1497 1996 2963 2994 3992 4491 5926 5988 8889 8982 11852 11976 17778 17964 23704 26667 35556 35928 53334 71112 106668 213336 1478537 2957074 4435611 5914148 8871222 11828296 13306833 17742444 26613666 35484888 53227332 106454664