101462240 has 48 divisors (see below), whose sum is σ = 261500400. Its totient is φ = 36894720.

The previous prime is 101462233. The next prime is 101462243. The reversal of 101462240 is 42264101.

It is a super-2 number, since 2×101462240² = 20589172291635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101462243) 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, 27065 + ... + 30584.

It is an arithmetic number, because the mean of its divisors is an integer number (5447925).

Almost surely, 2^101462240 is an apocalyptic number.

101462240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101462240 is an abundant number, since it is smaller than the sum of its proper divisors (160038160).

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

101462240 is a wasteful number, since it uses less digits than its factorization.

101462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57675 (or 57667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 101462240 is about 10072.8466681470. The cubic root of 101462240 is about 466.4103172578.

The spelling of 101462240 in words is "one hundred one million, four hundred sixty-two thousand, two hundred forty".