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106025624 = 23192967359
BaseRepresentation
bin1100101000111…
…01001010011000
321101111122210222
412110131022120
5204120304444
614304255212
72425126415
oct624351230
9241448728
10106025624
1154937691
122b611508
1318c73373
141011d10c
159494eee
hex651d298

106025624 has 64 divisors (see below), whose sum is σ = 220320000. Its totient is φ = 47634048.

The previous prime is 106025593. The next prime is 106025627. The reversal of 106025624 is 426520601.

It is a super-2 number, since 2×1060256242 = 22482865889178752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106025593 and 106025602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106025627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295157 + ... + 295515.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2106025624 is an apocalyptic number.

It is an amenable number.

106025624 is an abundant number, since it is smaller than the sum of its proper divisors (114294376).

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

106025624 is a wasteful number, since it uses less digits than its factorization.

106025624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 106025624 is about 10296.8744772382. The cubic root of 106025624 is about 473.3004808692.

The spelling of 106025624 in words is "one hundred six million, twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 19 29 38 58 67 76 116 134 152 232 268 359 536 551 718 1102 1273 1436 1943 2204 2546 2872 3886 4408 5092 6821 7772 10184 10411 13642 15544 20822 24053 27284 36917 41644 48106 54568 73834 83288 96212 147668 192424 197809 295336 395618 457007 697537 791236 914014 1395074 1582472 1828028 2790148 3656056 5580296 13253203 26506406 53012812 106025624