106736625 has 48 divisors (see below), whose sum is σ = 203765328. Its totient is φ = 53568000.

The previous prime is 106736611. The next prime is 106736639. The reversal of 106736625 is 526637601.

It is an interprime number because it is at equal distance from previous prime (106736611) and next prime (106736639).

It can be written as a sum of positive squares in 8 ways, for example, as 29419776 + 77316849 = 5424^2 + 8793^2 .

It is not a de Polignac number, because 106736625 - 2¹¹ = 106734577 is a prime.

It is a super-2 number, since 2×106736625² = 22785414232781250, 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 106736625.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16335 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (4245111).

Almost surely, 2^106736625 is an apocalyptic number.

106736625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106736625 is a deficient number, since it is larger than the sum of its proper divisors (97028703).

106736625 is a wasteful number, since it uses less digits than its factorization.

106736625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 106736625 is about 10331.3418779944. The cubic root of 106736625 is about 474.3560989100.

The spelling of 106736625 in words is "one hundred six million, seven hundred thirty-six thousand, six hundred twenty-five".