106375740 has 48 divisors (see below), whose sum is σ = 305908512. Its totient is φ = 27599616.

The previous prime is 106375739. The next prime is 106375747. The reversal of 106375740 is 47573601.

106375740 = 3643² + 3644² + ... + 3650².

It is a super-2 number, since 2×106375740² = 22631596121095200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106375747) 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, 21739 + ... + 26178.

It is an arithmetic number, because the mean of its divisors is an integer number (6373094).

Almost surely, 2^106375740 is an apocalyptic number.

106375740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106375740 is an abundant number, since it is smaller than the sum of its proper divisors (199532772).

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

106375740 is a wasteful number, since it uses less digits than its factorization.

106375740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47966 (or 47964 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 106375740 is about 10313.8615464820. The cubic root of 106375740 is about 473.8208833818.

The spelling of 106375740 in words is "one hundred six million, three hundred seventy-five thousand, seven hundred forty".