101464000 has 112 divisors (see below), whose sum is σ = 274356576. Its totient is φ = 36864000.

The previous prime is 101463979. The next prime is 101464003. The reversal of 101464000 is 464101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101464003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87424 + ... + 88576.

Almost surely, 2^101464000 is an apocalyptic number.

101464000 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 101464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137178288).

101464000 is an abundant number, since it is smaller than the sum of its proper divisors (172892576).

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

101464000 is a wasteful number, since it uses less digits than its factorization.

101464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1171 counting only the distinct ones).

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

The square root of 101464000 is about 10072.9340313535. The cubic root of 101464000 is about 466.4130140818.

The spelling of 101464000 in words is "one hundred one million, four hundred sixty-four thousand".