106691040 has 96 divisors (see below), whose sum is σ = 373433760. Its totient is φ = 28449792.

The previous prime is 106690967. The next prime is 106691051. The reversal of 106691040 is 40196601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106691040² = 22765956032563200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106690995 and 106691013.

It is a congruent number.

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, 8029 + ... + 16668.

It is an arithmetic number, because the mean of its divisors is an integer number (3889935).

Almost surely, 2^106691040 is an apocalyptic number.

106691040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106691040 is an abundant number, since it is smaller than the sum of its proper divisors (266742720).

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

106691040 is a wasteful number, since it uses less digits than its factorization.

106691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24721 (or 24707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106691040 is about 10329.1354914146. The cubic root of 106691040 is about 474.2885600753.

The spelling of 106691040 in words is "one hundred six million, six hundred ninety-one thousand, forty".