106240761 has 64 divisors (see below), whose sum is σ = 184089600. Its totient is φ = 59875200.

The previous prime is 106240741. The next prime is 106240807. The reversal of 106240761 is 167042601.

It is not a de Polignac number, because 106240761 - 2¹⁹ = 105716473 is a prime.

It is a super-2 number, since 2×106240761² = 22574198595718242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106240741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377941 + ... + 378221.

It is an arithmetic number, because the mean of its divisors is an integer number (2876400).

Almost surely, 2^106240761 is an apocalyptic number.

106240761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106240761 is a deficient number, since it is larger than the sum of its proper divisors (77848839).

106240761 is a wasteful number, since it uses less digits than its factorization.

106240761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106240761 is about 10307.3158969734. The cubic root of 106240761 is about 473.6203898637.

The spelling of 106240761 in words is "one hundred six million, two hundred forty thousand, seven hundred sixty-one".