101400 has 72 divisors (see below), whose sum is σ = 340380. Its totient is φ = 24960.

The previous prime is 101399. The next prime is 101411. The reversal of 101400 is 4101.

101400 = T₇₅ + T₇₆ + ... + T₁₀₀.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2 and base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7794 + ... + 7806.

2¹⁰¹⁴⁰⁰ is an apocalyptic number.

101400 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 101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190).

101400 is an abundant number, since it is smaller than the sum of its proper divisors (238980).

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

101400 is a wasteful number, since it uses less digits than its factorization.

101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101400 is about 318.4336665618. The cubic root of 101400 is about 46.6314927695.

Adding to 101400 its reverse (4101), we get a palindrome (105501).

The spelling of 101400 in words is "one hundred one thousand, four hundred", and thus it is an iban number.