101401040 has 40 divisors (see below), whose sum is σ = 253895208. Its totient is φ = 37440000.

The previous prime is 101401033. The next prime is 101401049. The reversal of 101401040 is 40104101.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 96275344 = 2264^2 + 9812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101401049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47711 + ... + 49790.

Almost surely, 2^101401040 is an apocalyptic number.

101401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101401040 is an abundant number, since it is smaller than the sum of its proper divisors (152494168).

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

101401040 is a wasteful number, since it uses less digits than its factorization.

101401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97527 (or 97521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 101401040 is about 10069.8083397848. The cubic root of 101401040 is about 466.3165219291.

Adding to 101401040 its reverse (40104101), we get a palindrome (141505141).

The spelling of 101401040 in words is "one hundred one million, four hundred one thousand, forty".