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106233540 = 22357252937
BaseRepresentation
bin1100101010011…
…11111011000100
321101220020000120
412111033323010
5204143433130
614312541540
72426653530
oct625177304
9241806016
10106233540
1154a69916
122b6b18b0
1319016baa
1410174bc0
1594d6910
hex654fec4

106233540 has 48 divisors (see below), whose sum is σ = 339948672. Its totient is φ = 24281856.

The previous prime is 106233539. The next prime is 106233551. The reversal of 106233540 is 45332601.

It is a happy number.

It is a super-2 number, since 2×1062335402 = 22571130041863200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106233540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126049 + ... + 126888.

It is an arithmetic number, because the mean of its divisors is an integer number (7082264).

Almost surely, 2106233540 is an apocalyptic number.

106233540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106233540 is an abundant number, since it is smaller than the sum of its proper divisors (233715132).

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

106233540 is a wasteful number, since it uses less digits than its factorization.

106233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252956 (or 252954 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106233540 is about 10306.9656058415. The cubic root of 106233540 is about 473.6096592354.

The spelling of 106233540 in words is "one hundred six million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 252937 505874 758811 1011748 1264685 1517622 1770559 2529370 3035244 3541118 3794055 5058740 5311677 7082236 7588110 8852795 10623354 15176220 17705590 21246708 26558385 35411180 53116770 106233540