101662400 has 168 divisors, whose sum is σ = 296692320. Its totient is φ = 33546240.

The previous prime is 101662399. The next prime is 101662403. The reversal of 101662400 is 4266101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101662403) 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 23 ways as a sum of consecutive naturals, for example, 324644 + ... + 324956.

Almost surely, 2^101662400 is an apocalyptic number.

101662400 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 101662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148346160).

101662400 is an abundant number, since it is smaller than the sum of its proper divisors (195029920).

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

101662400 is a wasteful number, since it uses less digits than its factorization.

101662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101662400 is about 10082.7773951427. Note that the first 3 decimals coincide. The cubic root of 101662400 is about 466.7168200066.

The spelling of 101662400 in words is "one hundred one million, six hundred sixty-two thousand, four hundred".