101553100 has 144 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 33868800.

The previous prime is 101553097. The next prime is 101553103. The reversal of 101553100 is 1355101.

It is an interprime number because it is at equal distance from previous prime (101553097) and next prime (101553103).

It is a super-2 number, since 2×101553100² = 20626064239220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101553103) 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 47 ways as a sum of consecutive naturals, for example, 898644 + ... + 898756.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^101553100 is an apocalyptic number.

101553100 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 101553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

101553100 is an abundant number, since it is smaller than the sum of its proper divisors (159680180).

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

101553100 is a wasteful number, since it uses less digits than its factorization.

101553100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 101553100 is about 10077.3558039795. The cubic root of 101553100 is about 466.5495000637.

The spelling of 101553100 in words is "one hundred one million, five hundred fifty-three thousand, one hundred".