101553480 has 384 divisors, whose sum is σ = 418608000. Its totient is φ = 21772800.

The previous prime is 101553467. The next prime is 101553497. The reversal of 101553480 is 84355101.

101553480 is a `hidden beast` number, since 101 + 553 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×101553480² = 20626218600220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1005430 + ... + 1005530.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^101553480 is an apocalyptic number.

101553480 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 101553480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

101553480 is an abundant number, since it is smaller than the sum of its proper divisors (317054520).

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

101553480 is a wasteful number, since it uses less digits than its factorization.

101553480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101553480 is about 10077.3746581141. The cubic root of 101553480 is about 466.5500819878.

The spelling of 101553480 in words is "one hundred one million, five hundred fifty-three thousand, four hundred eighty".