101691040 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 35020800.

The previous prime is 101691013. The next prime is 101691041. The reversal of 101691040 is 40196101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101691041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31920 + ... + 34960.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^101691040 is an apocalyptic number.

101691040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

101691040 is an abundant number, since it is smaller than the sum of its proper divisors (174279200).

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

101691040 is a wasteful number, since it uses less digits than its factorization.

101691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 101691040 is about 10084.1975387236. The cubic root of 101691040 is about 466.7606432054.

101691040 divided by its sum of digits (22) gives a triangular number (4622320 = T₃₀₄₀).

The spelling of 101691040 in words is "one hundred one million, six hundred ninety-one thousand, forty".