101460400 has 30 divisors (see below), whose sum is σ = 243759572. Its totient is φ = 40584000.

The previous prime is 101460379. The next prime is 101460407. The reversal of 101460400 is 4064101.

It is a happy number.

It is a super-3 number, since 3×101460400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101460407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126426 + ... + 127225.

Almost surely, 2^101460400 is an apocalyptic number.

101460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101460400 is an abundant number, since it is smaller than the sum of its proper divisors (142299172).

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

101460400 is a wasteful number, since it uses less digits than its factorization.

101460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253669 (or 253658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101460400 is about 10072.7553330755. The cubic root of 101460400 is about 466.4074978175.

The spelling of 101460400 in words is "one hundred one million, four hundred sixty thousand, four hundred".