100061500 has 192 divisors, whose sum is σ = 286820352. Its totient is φ = 29568000.

The previous prime is 100061491. The next prime is 100061501. The reversal of 100061500 is 5160001.

100061500 is a modest number, since divided by 61500 gives 1000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100061501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885444 + ... + 885556.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^100061500 is an apocalyptic number.

100061500 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 100061500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

100061500 is an abundant number, since it is smaller than the sum of its proper divisors (186758852).

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

100061500 is a wasteful number, since it uses less digits than its factorization.

100061500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100061500 is about 10003.0745273641. The cubic root of 100061500 is about 464.2540164328.

It can be divided in two parts, 1000 and 61500, that added together give a square (62500 = 250²).

The spelling of 100061500 in words is "one hundred million, sixty-one thousand, five hundred".